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Finding the Fourth Proportional to 257,683.84, 357,984.64 and 255,376.96

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Solution

The fourth proportional to 257,683.84, 357,984.64 and 255,376.96 is: 354,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,683.84 : 357,984.64 = 255,376.96 : x
  2. Step 2: Convert to fraction form
    257,683.84/357,984.64 = 255,376.96/x
  3. Step 3: Cross multiply
    257,683.84x = 357,984.64 × 255,376.96
  4. Step 4: Simplify right side
    257,683.84x = 91,421,029,089.89
  5. Step 5: Solve for x
    x = 91,421,029,089.89/257,683.84
  6. Step 6: Final answer
    x = 354,779.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.